TY - JOUR

T1 - The negativity of the overlap-based topological charge density correlator in pure-glue QCD and the non-integrable nature of its contact part

AU - Horváth, I.

AU - Alexandru, A.

AU - Zhang, J. B.

AU - Chen, Y.

AU - Dong, S. J.

AU - Draper, T.

AU - Liu, K. F.

AU - Mathur, N.

AU - Tamhankar, S.

AU - Thacker, H. B.

N1 - Funding Information:
This work was supported in part by US Department of Energy under grants DE-FG05-84ER40154 and DE-FG02-95ER40907.

PY - 2005/6/23

Y1 - 2005/6/23

N2 - We calculate the lattice two-point function of topological charge density in pure-glue QCD using the discretization of the operator based on the overlap Dirac matrix. Utilizing data at three lattice spacings it is shown that the continuum limit of the correlator complies with the requirement of non-positivity at non-zero distances. For our choice of the overlap operator and the Iwasaki gauge action we find that the size of the positive core is ≈2a (with a being the lattice spacing) sufficiently close to the continuum limit. This result confirms that the overlap-based topological charge density is a valid local operator over realistic backgrounds contributing to the QCD path integral, and is important for the consistency of recent results indicating the existence of a low-dimensional global brane-like topological structure in the QCD vacuum. We also confirm the divergent short-distance behavior of the correlator, and the non-integrable nature of the associated contact part.

AB - We calculate the lattice two-point function of topological charge density in pure-glue QCD using the discretization of the operator based on the overlap Dirac matrix. Utilizing data at three lattice spacings it is shown that the continuum limit of the correlator complies with the requirement of non-positivity at non-zero distances. For our choice of the overlap operator and the Iwasaki gauge action we find that the size of the positive core is ≈2a (with a being the lattice spacing) sufficiently close to the continuum limit. This result confirms that the overlap-based topological charge density is a valid local operator over realistic backgrounds contributing to the QCD path integral, and is important for the consistency of recent results indicating the existence of a low-dimensional global brane-like topological structure in the QCD vacuum. We also confirm the divergent short-distance behavior of the correlator, and the non-integrable nature of the associated contact part.

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U2 - 10.1016/j.physletb.2005.04.076

DO - 10.1016/j.physletb.2005.04.076

M3 - Article

AN - SCOPUS:20144369894

SN - 0370-2693

VL - 617

SP - 49

EP - 59

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 1-2

ER -